%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO029^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:48:45 AM UTC 2026
% Result : Theorem 0.23s 0.28s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO029^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 % Computer : n008.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 16:23:13 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 Running first-order model finding
% 0.11/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.28 % (3365039)Will run a generic schedule for satisfiability detection.
% 0.23/0.28 % (3365052)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3068704627:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.28 % (3365051)% WARNING: option uhcvi not known.
% 0.23/0.28 % (3365052) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3365039-3365052"...
% 0.23/0.28 % (3365052)...printing done.
% 0.23/0.28 % (3365052)Refutation found. Thanks to Tanya!
% 0.23/0.28 % SZS status Theorem for theBenchmark
% 0.23/0.28 % SZS output start Proof for theBenchmark
% 0.23/0.28 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.28 thf(func_def_3, type, sK0: (($o > $o) > $o)).
% 0.23/0.28 thf(func_def_4, type, vNOT: ($o > $o)).
% 0.23/0.28 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 0.23/0.28 thf(func_def_7, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.23/0.28 thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 0.23/0.28 thf(f1,conjecture,(
% 0.23/0.28 ? [X0 : ($o > $o)] : ! [X1 : $o] : ((X0 @ X1) <=> ~X1)),
% 0.23/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.23/0.28 thf(f2,negated_conjecture,(
% 0.23/0.28 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : ((X0 @ X1) <=> ~X1)),
% 0.23/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.28 thf(f3,plain,(
% 0.23/0.28 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : ((X0 @ X1) <=> ~X1)),
% 0.23/0.28 inference(rectify,[],[f2])).
% 0.23/0.28 thf(f4,plain,(
% 0.23/0.28 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : ((((X0 @ X1)) = $true) <=> ~ ($true = X1))),
% 0.23/0.28 inference(fool_elimination,[],[f3])).
% 0.23/0.28 thf(f5,plain,(
% 0.23/0.28 ~ ? [X0 : ($o > $o)] : ! [X1 : $o] : ((((X0 @ X1)) = $true) <=> ($true != X1))),
% 0.23/0.28 inference(flattening,[],[f4])).
% 0.23/0.28 thf(f6,plain,(
% 0.23/0.28 ! [X0 : ($o > $o)] : ? [X1 : $o] : ((((X0 @ X1)) = $true) <~> ($true != X1))),
% 0.23/0.28 inference(ennf_transformation,[],[f5])).
% 0.23/0.28 thf(f7,plain,(
% 0.23/0.28 ! [X0 : ($o > $o)] : ? [X1 : $o] : ((($true = X1) | (((X0 @ X1)) != $true)) & (($true != X1) | (((X0 @ X1)) = $true)))),
% 0.23/0.28 inference(nnf_transformation,[],[f6])).
% 0.23/0.28 thf(f8,plain,(
% 0.23/0.28 ! [X0 : ($o > $o)] : ((($true = ((sK0 @ X0))) | ($true != ((X0 @ (sK0 @ X0))))) & (($true != ((sK0 @ X0))) | ($true = ((X0 @ (sK0 @ X0))))))),
% 0.23/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f7])).
% 0.23/0.28 thf(f9,plain,(
% 0.23/0.28 ( ! [X0 : ($o > $o)] : (($true != ((sK0 @ X0))) | ($true = ((X0 @ (sK0 @ X0))))) )),
% 0.23/0.28 inference(cnf_transformation,[],[f8])).
% 0.23/0.28 thf(f10,plain,(
% 0.23/0.28 ( ! [X0 : ($o > $o)] : (($true != ((X0 @ (sK0 @ X0)))) | ($true = ((sK0 @ X0)))) )),
% 0.23/0.28 inference(cnf_transformation,[],[f8])).
% 0.23/0.28 thf(f70,plain,(
% 0.23/0.28 ( ! [X1 : ($o > $o)] : (($true != (((^[Y0 : $o]: (~ (X1 @ Y0))) @ (sK0 @ (^[Y0 : $o]: (~ (X1 @ Y0))))))) | ($true = ((sK0 @ (^[Y0 : $o]: (~ (X1 @ Y0))))))) )),
% 0.23/0.28 inference(primitive_instantiation,[],[f10])).
% 0.23/0.28 thf(f72,plain,(
% 0.23/0.28 ( ! [X1 : ($o > $o)] : (($true != ((~ (X1 @ (sK0 @ (^[Y0 : $o]: (~ (X1 @ Y0)))))))) | ($true = ((sK0 @ (^[Y0 : $o]: (~ (X1 @ Y0))))))) )),
% 0.23/0.28 inference(beta-eta_normalization,[],[f70])).
% 0.23/0.28 thf(f73,plain,(
% 0.23/0.28 ( ! [X1 : ($o > $o)] : (($true = ((X1 @ (sK0 @ (^[Y0 : $o]: (~ (X1 @ Y0))))))) | ($true = ((sK0 @ (^[Y0 : $o]: (~ (X1 @ Y0))))))) )),
% 0.23/0.28 inference(not_proxy_clausification,[],[f72])).
% 0.23/0.28 thf(f133,plain,(
% 0.23/0.28 ($true = (((^[Y0 : $o]: (Y0)) @ (sK0 @ (^[Y0 : $o]: (~ ((^[Y1 : $o]: (Y1)) @ Y0))))))) | ($true = ((sK0 @ (^[Y0 : $o]: (~ ((^[Y1 : $o]: (Y1)) @ Y0))))))),
% 0.23/0.28 inference(primitive_instantiation,[],[f73])).
% 0.23/0.28 thf(f166,plain,(
% 0.23/0.28 ($true = ((sK0 @ ~))) | ($true = ((sK0 @ ~)))),
% 0.23/0.28 inference(beta-eta_normalization,[],[f133])).
% 0.23/0.28 thf(f167,plain,(
% 0.23/0.28 ($true = ((sK0 @ ~)))),
% 0.23/0.28 inference(duplicate_literal_removal,[],[f166])).
% 0.23/0.28 thf(f168,plain,(
% 0.23/0.28 ($true != $true) | ($true = ((~ $true)))),
% 0.23/0.28 inference(constrained_superposition,[],[f9,f167])).
% 0.23/0.28 thf(f172,plain,(
% 0.23/0.28 ($true != $true) | ($true = $false)),
% 0.23/0.28 inference(not_proxy_clausification,[],[f168])).
% 0.23/0.28 thf(f173,plain,(
% 0.23/0.28 $false),
% 0.23/0.28 inference(trivial_inequality_removal,[],[f172])).
% 0.23/0.28 % SZS output end Proof for theBenchmark
% 0.23/0.28 % (3365052)------------------------------
% 0.23/0.28 % (3365052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.28 % (3365052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.28 % (3365052)CaDiCaL version: 2.1.3
% 0.23/0.28 % (3365052)Termination reason: Refutation
% 0.23/0.28 % (3365052)Time elapsed: 0.004 s
% 0.23/0.28 % (3365052)Peak memory usage: 12 MB
% 0.23/0.28 % (3365052)Instructions burned: 10 (million)
% 0.23/0.28 % (3365039)Success in time 0.031 s
% 0.23/0.28 % Vampire exiting
%------------------------------------------------------------------------------